11662021120 has 80 divisors (see below), whose sum is σ = 28717467768. Its totient is φ = 4538695680.

The previous prime is 11662021109. The next prime is 11662021121. The reversal of 11662021120 is 2112026611.

It can be written as a sum of positive squares in 4 ways, for example, as 11653634304 + 8386816 = 107952^2 + 2896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11662021091 and 11662021100.

It is not an unprimeable number, because it can be changed into a prime (11662021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33160 + ... + 156280.

Almost surely, 2^11662021120 is an apocalyptic number.

11662021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11662021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358733884).

11662021120 is an abundant number, since it is smaller than the sum of its proper divisors (17055446648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11662021120 is an equidigital number, since it uses as much as digits as its factorization.

11662021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123181 (or 123165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11662021120 its reverse (2112026611), we get a palindrome (13774047731).

The spelling of 11662021120 in words is "eleven billion, six hundred sixty-two million, twenty-one thousand, one hundred twenty".